Two Monotone Processes of a Replacement Policy for a Repairable System with its Repairman Having Multiple Vacations.

Abstract

For the maintenance of repairable system with a repairman having multiple vacations using two monotone processes. If the system fails and the repairman is on vacation, it will wait for repair until the repairman is available. Assume the damaged system cannot be repaired “as good as new” and the repairman can be repaired immediately with a probability of p, we optimize replacement policy using increasing alpha series and decreasing partial sum processes. The explicit expression for the expected profit under replacement policy N is derived analytically. And we also a numerical example is given to illustrate the theoretical results of the model mentioned in this paper.